John is creating a display at the store where he works, using only canned pumpkin and canned green beans. he needs to maintain a ratio of pumpkin to green beans of 5 to 2. if he wants to use a total of 105 cans, how many cans of green beans should he use?

Number of green beans John should use is 30

Solution:

Given that ratio of pumpkin to green beans is 5 to 2

pumpkin : green beans = 5 : 2

Let "5a" be the number of canned pumpkins

Let "2a" be the number of canned green beans

John wants to use a total of 105 cans

number of canned pumpkins + number of canned green beans = 105

5a + 2a = 105

7a = 105

number of canned green beans = 2a = 2(15) = 30

Thus number of green beans John should use is 30

what is the model?

step-by-step explanation:

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)